Answer:
63
Step-by-step explanation:
Consider this function.
f(x) = |x – 4| + 6
If the domain is restricted to the portion of the graph with a positive slope, how are the domain and range of the function and its inverse related?
If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.
The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.
If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.
The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).
The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.
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On a map, the scale shown is 1 inch : 5 miles. If
a wildlife refuge is 50 square miles, what is the
area of the refuge on the map?
Use the proportion to solve for x.
1 in. 2
25 mi2
x in. ²
50 mi²
Cross
multiplication
can help!
=
The area of the wildlife refuge is [?] square
inches on the map.
Enter
Answer:
Step-by-step explanation:
6
0.047 rewrite as percentage
Answer:
.05 %
Step-by-step explanation:
Hi! I believe your answer is 4.7%. Simply move the decimal two places to the right. I hope this helps you! Good luck and have a great day. ❤️✨
10 pints is equal to how many quarts?
10 pints is equal to 5 quarts.
Given that there are 10 pints.
We need to convert pints to quarts.
To convert pints to quarts, we need to keep in mind that there are 2 pints in 1 quart.
Given that we have 10 pints, we can divide this value by 2 to obtain the equivalent amount in quarts:
10 pints / 2 pints per quart
= 5 quarts
Therefore, 10 pints is equal to 5 quarts.
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What is the complete factorization of the polynomial below?
x3 + 9x2 + 26x + 24
A. (x+3)(x+3)(x + 1)
B. (X + 8)(x+3)(x + 1)
C. (x+6)(x + 2)(x + 2)
D. (x + 4)(x+3)(x + 2)
Answer:
D) (x + 4)(x+3)(x+2)
Step-by-step explanation:
Used synthetic division to find factors.
Solve for the missing side length
Answer:
x = 10Step-by-step explanation:
Similar right triangles (angle marked congruent).
Same proportion of corresponding sides:
x/15 = 14/21x/15 = 2/3x = 15*2/3x = 10A square has a side length of 7 cm. A rectangle has a length of y/8-3cm and a width of 4 cm. The square has the same perimeter as the rectangle. Work out the value of y.
if the square has the same perimeter as the rectangle then the value of y is 92.
How to find the value of y?The perimeter of a square is equal to the sum of all four sides, so a square with a side of 7 cm has a perimeter of 4 * 7 cm = 28 cm.
The perimeter of the rectangle is equal to twice the sum of the length and width. So for a rectangle of length y/8-3cm and width 4cm, the perimeter is 2 * (y/8-3+4) cm = (y/4-3+8) cm = y/4 . +5 cm.
Since squares and rectangles have the same perimeter, the two perimeter formulas can be equal.
28cm = y/4+5cm
You can solve for y by isolating it on one side of the equation.
years/4+5 = 28
y/4 = 23
y=92
So the value of y is 92.
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recall from example 3 in section 1.3 that the set of diagonal matrices in m2x2(f) is a subspace. find a linearly independent set that generates this subspace.
A linearly independent set that generates the subspace of diagonal matrix in M2x2(F) is {[1,0;0,0], [0,0;0,1]}.
A subspace of M2x2(F) is a set of all diagonal matrices, which are matrices of the form [a,0;0,b] with a, b∈F.
A linearly independent set of vectors that generate this subspace is {[1,0;0,0], [0,0;0,1]}. Any diagonal matrix can be written as a linear combination of these two vectors.
A subspace of M2x2(F) is a set of all diagonal matrices, which are matrices of the form [a,0;0,b] with a,b∈F. This means that all the diagonal entries in the matrix must be non-zero. To find a linearly independent set that generates this subspace, we can start by considering the simplest form of a diagonal matrix, which is [1,0;0,0]. This vector is linearly independent, as it cannot be expressed as a linear combination of any other vector in the space. Similarly, [0,0;0,1] is also linearly independent, as it can't be expressed as a linear combination of any other vector.
These two vectors form a linearly independent set that generates the subspace of diagonal matrices in M2x2(F). Any diagonal matrix can be written as a linear combination of these two vectors. For example, the matrix [2,0;0,3] can be expressed as 2[1,0;0,0]+3[0,0;0,1]. Thus, this set of vectors is sufficient to generate the entire subspace.
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please help me with my question
The dot plot shows the number of people that live in the household of each surveyed student. Each plot represents the answer of one student in the class.
There are 25 dots on the graph, which means that the sample size is 25.
You need to determine the percentage of the class that has a household of 3 or fewer students. To do so, first count the number of students that have a household of two and three people:
2 people in the household: 3
3 people in the household: 4
→ the number of students that have a household of three or fewer people is 7.
Next, divide the number of students with 3 or fewer people in their household by the total number of students surveyed and multiply it by 100 to determine the percentage it represents:
\(\frac{7}{25}\cdot100=28\%\)The percent of the class that has a household of 3 or fewer people is 28% (option D)
An inscribed angle and a central angle intercept the same arc. The inscribed angle is —— the arc.
In a circle
The inscribed angle is an angle its vertex lie on the circle and its sides are chords in the circle
The central angle is an angle its vertex is the center of the circle and its sides are radii of the circle
If the inscribed angle and a central angle are subtended by the same arc, then
The measure of the inscribed angle is half the measure of the central angle
The answer is half
Answer c
use the gas prices data below to calculate a 3-month simple moving average (sma) forecast for the average gas prices and predict the average retail gasoline price for june 2020. round your answer to two decimal places, if necessary.
Three- month simple moving average (sma) forecast for the average gas prices are $3.08
$3.16 , $3.29 and predict the average retail gasoline price for june 2020 is $3.54.
What Is a Simple Moving Average (SMA)?A simple moving average (SMA) is defined as an arithmetic moving average calculated by adding recent prices and then dividing that figure by the number of time periods in the calculation average. The formula for SMA is:
SMA = (A₁ + A₂ + ------+ Aₙ )/n
where, Aₙ = the price of object at nth period
n = the number of total periods
We have, a average gas prices for different months. Calculate the three-month moving average, add together the first three sets of data, for this example it would be Dec, January, and February. This gives a total of $9.25 , then calculate the average of this total, by dividing this figure by 3 we get 3-month simple moving average. We have to predict the 3-month simple moving average for June 2020. As we seen in above table we calculate the 3-month simple moving average for different months.
The 3-month simple moving average for June 2020 is ( $3.29 + $3.51 + $3.82 )/3 = $3.54
So, required value is $3.54..
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Complete question:
use the gas prices data below to calculate a 3-month simple moving average (sma) forecast for the average gas prices and predict the average retail gasoline price for june 2020. round your answer to two decimal places, if necessary.
Year - month Averge gas price
19-Dec $3.07
20-Jan $3.10
20-Feb $3.08
20-Mar $3.29
20-Apr $3.51
20-May $3.82
20-Jun
WORTH: 40 POINTS ANSWER ALL OF THESE IN ITS SIMPLEST FORM (FRACTION)
A: 2/3 divided by 3
B: 6/7 divided by 3
C: 2/5 divided by 4
D: 5/6 divided by 5
E: 10/8 divided by 5
F: 4/7 divided by 4
G: 5/8 divided by 10
H: 20/6 divided by 2
(I WILL REPORT YOUR COMMENT IF YOU COMMENT RANDOM THINGS JUST TO GET POINTS LIKE DHSHRBABDB)
Answer:
2/9, 2/7, 1/10, 1/6, 1/4, 1/7, 1/16, 5/3Step-by-step explanation:
A: 2/3 divided by 3
2/3 : 3 = 2/3*1/3 = 2/9B: 6/7 divided by 3
6/7 : 3 = 6/7 *1/3 = 2/7C: 2/5 divided by 4
2/5 : 4 = 2/5*1/4 = 1/10D: 5/6 divided by 5
5/6 : 5 = 5/6*1/5 = 1/6E: 10/8 divided by 5
10/8 : 5 = 5/4 * 1/5 = 1/4F: 4/7 divided by 4
4/7 : 4 = 4/7*1/4 = 1/7G: 5/8 divided by 10
5/8 : 10 = 5/8*1/10 = 1/16H: 20/6 divided by 2
20/6 : 2 = 10/3 * 1/2 = 5/3A grocery store clerk can scan 1 product every 1/2 of a second. At what rate can she scan products?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
is the sample likely to be representative of the population of her paitents if she selects every 3rd name on the list ?
It is important to note that representativeness is not solely determined by the sampling method. Other factors, such as the size of the population
To determine whether the sample is likely to be representative of the population of her patients if she selects every third name on the list, we need to consider the characteristics of the population and the potential bias introduced by the sampling method.
Sampling every third name on the list is a form of systematic sampling, where every kth element is selected from the population. This method can introduce bias if there is a pattern or regularity in the list that aligns with the characteristic of interest. In this case, if there is a pattern in the list that correlates with the patients' characteristics, selecting every third name may not result in a representative sample.
For example, if the list is arranged in alphabetical order by last name, and there is a correlation between patients' last names and their medical conditions, then selecting every third name could introduce bias. It may result in an overrepresentation or underrepresentation of certain conditions depending on the distribution of last names.
To determine the representativeness of the sample, we need to assess whether the sampling method is likely to introduce systematic bias or if the list is randomly ordered. If the list is randomly ordered and there is no known correlation between the order of the list and the patients' characteristics, selecting every third name may provide a representative sample.
However, it is important to note that representativeness is not solely determined by the sampling method. Other factors, such as the size of the population, the specific characteristics of interest, and the variability within the population, also play a role.
To make a definitive assessment of the representativeness of the sample, further information about the list and the population would be needed. Without such information, it is challenging to determine whether selecting every third name on the list would result in a representative sample of the population of her patients.
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Kimberly wrote a check for $58 to pay her monthly telephone bill, but when balancing her checkbook, she accidentally recorded it as credit rather than as a debit. How will her check register compare to her monthly bank statement when she receives it
Answer:
C. The balance in her check register will be $116 over the balance on her bank statement.
Use the graph of f to evaluate the following
The average rate of change of f from 2 to 5
By using the graph, the average rate of change of the function f from 2 to 5 is equal to -1.
How to determine the average rate of change?In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by this mathematical expression:
Average rate of change = [f(b) - f(a)]/(b - a)
Next, we would determine the average rate of change of the function f from the graph over the interval [2, 5]:
a = 2; f(a) = 4
b = 5; f(b) = 1
Substituting the given parameters into the average rate of change formula, we have the following;
Average rate of change = (1 - 4)/(5 - 2)
Average rate of change = -3/3
Average rate of change = -1.
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Write a problem in which $180 would be a reasonable answer
Answer:
One person collects $60 in a week what how many money will it have?
Step-by-step explanation:
lets talk about the basics of pythagoras (maths)?
Answer:
Is there a question?
Step-by-step explanation:
The Pythagorean theorem states that for any right triangle with legs of length “a” and “b” and a hypotenuse of length “c,” the lengths of the sides always satisfy the relationship, “a^2 + b^2 = c^2.” In other words, the sum of the squares of the lengths of the two legs of a triangle is equal to the square of its hypotenuse. The formula is alternatively written with the hypotenuse length isolated (i.e., c = Sqrt(a^2 + b^2).
This is the definition.
PLZZZ HELPPP THIS IS DUE!!
This is a story problem. You may use the method of your choice to solve the problem. (substitution, combination, elimination )
The sum of 2 numbers ( x and y ) is +12
The difference of the same 2 numbers is -4
1. Which method will you use and why?
2. How will you set up the equation needed to solve?
3. What is the solution expressed as an ordered pair? (x,y)
Answer:
y=3x-2..... i
x-y=4...... ii
x-4=y
Substituting the value of y in equation i,
x-4=3x-2
2-4=3x-x
-2=2x
x=-1.
From ii,
-1-4=y
y=-5.
x=-1, y=-5
Step-by-step explanation:
brainest please
Find the work done by gas?
The work done by the gas when the gas expands will be 567.65 ft-lb.
What is the work done for an isothermal process?The Pressure is inversely proportional to the volume.
Let the initial pressure and initial volume be P₁ and V₁, and the final volume be V₂.
Then the work done by the gas will be
WD = P₁ V₁ ln (V₂ / V₁)
A quantity of the gas with an initial volume of 2 cubic feet and an initial pressure of 700 pounds per square foot.
The gas expands to a volume of 3 cubic feet.
Then the work done by the gas will be
WD = 700 x 2 x ln (3/2)
WD = 1400 x 0.405
WD = 567.65 ft-lb
The work done by the gas when the gas expands will be 567.65 ft-lb.
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HELP PLZZZZZZ!!!!!!!!!!!!!!!!!!!!!!!
Answer: B
Step-by-step explanation:
the area of a rectangle is 49.7cm2, and the width the rectangle is 3.5 cm what is the length rectangle cenimeters
Answer:
Answer = 14. 2
Step-by-step explanation:
Area of rectangle = length x breath
So, area here is = 49.7 cm2
Breath = 3.5 cm
49.7 = length x 3.5
Length = 49.7 ÷ 3.5
Length = 14.2 cm
Write the next three terms of the following sequences.
5⁄8, 13⁄8, 21⁄8, 29⁄8, 37⁄8, ...
Answer:
45/8
Step-by-step explanation:
Pls help me I’m failing math
Answer:
Step-by-step explanation:
The first change, the price goes from $4.09 to $3.59.
Beginning price: $4.09
The price decreased to: $3.59
Amount of decrease: $4.09 - $3.59 = $0.50
Percent of decrease: 0.5/4.09 * 100% = 12.2%
The second change, the price goes from $3.59 to $4.09.
Beginning price: $3.59
The price increased to: $4.09
Amount of increase: $4.09 - $3.59 = $0.50
Percent of increase: 0.5/3.59 * 100% = 13.9%
The first change was a decrease of 12.2%, and he second change was an increase of 13.9%. The two percent changes are not the same, and the second percent change is greater.
Answer:
"i dont care"
Step-by-step explanation:
dont scam
Graph: y > 6
Is (-2,7) a solution? yes or no
Is ( 2,6) a solution? yes or no
Answer:(-2,7) is a yes
(2,6) is no pls mark brainiest
Step-by-step explanation: did a question like this and i mastered this subject
PLS HURRY FOR 80 POINTS Triangle XYZ is drawn with vertices X(4, −5), Y(6, −1), Z(10, −8). Determine the line of reflection if X′(4, 5).
y-axis
x-axis
y = 1
x = −4
Answer: a
Step-by-step explanation:
V7xV2
Realiza la siguiente multiplicación de raíces cuadradas
It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.
To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.
V7 * V2 = V(7 * 2) = V14
Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.
This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.
In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.
It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.
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What is the fraction and mixed number for this decimal 0.5
Answer: 1/2
Step-by-step explanation:
The fraction equivalent of 0.5 is 1/2.
To convert it into a mixed number, we can divide the numerator by the denominator:
1 ÷ 2 = 0 with a remainder of 1
So, the mixed number is 0 1/2.
Simplify log2 20-log2 30.
Answer:
\( log_{2}(20) - log_{2}(30) \\ log_{2}(20 \div 30) \\ log_{2}(0.667) \)
hope this helps you
Brainliest appreciated
log1(20)-log2(30)
log2 (20÷30)
log2=0.667
PLEASE HELP ME WITH THIS QUESTION ASAP
Answer:
its 11-17/-3+5 to find the slope its y1-y2 over the difference of the c